What is the derivative of-5cos(x) ?

The derivative of-5cos(x) is 5sin(x)

What is the first derivative of-5cos(x) ?

The first derivative of-5cos(x) is 5sin(x)

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\frac{d}{d x} (- 5 cos (x))

5 sin (x)

Solution steps

\frac{d}{d x} (- 5 cos (x))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= - 5 \frac{d}{d x} (cos (x))

Apply the common derivative:

\frac{d}{d x} (cos (x)) = - sin (x)

= - 5 (- sin (x))

Simplify

= 5 sin (x)

What is the derivative of-5cos(x) ?
The derivative of-5cos(x) is 5sin(x)
What is the first derivative of-5cos(x) ?
The first derivative of-5cos(x) is 5sin(x)